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Finding the Fourth Proportional to 121.74, 182.58 and 81.42

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Solution

The fourth proportional to 121.74, 182.58 and 81.42 is: 122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 182.58 = 81.42 : x
  2. Step 2: Convert to fraction form
    121.74/182.58 = 81.42/x
  3. Step 3: Cross multiply
    121.74x = 182.58 × 81.42
  4. Step 4: Simplify right side
    121.74x = 14,865.66
  5. Step 5: Solve for x
    x = 14,865.66/121.74
  6. Step 6: Final answer
    x = 122.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.